SOLUTION: solve the equation for solutions over the interval [0 degrees, 360 degrees).
2 sin theta - 1 = csc theta
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-> SOLUTION: solve the equation for solutions over the interval [0 degrees, 360 degrees).
2 sin theta - 1 = csc theta
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You can put this solution on YOUR website! solve the equation for solutions over the interval [0 degrees, 360 degrees).
2 sin theta - 1 = csc theta
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2sinx-1=cscx
2sinx-1=1/sinx
lcd: sinx
2sin^2(x)-sinx=1
2sin^2(x)-sinx-1=0
(2sinx+1)(sinx-1)=0
2sinx+1=0
sinx=-1/2
x=210˚, 330˚
or
sinx-1=0
sinx=1
x=90˚
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